Question

Difficulty: MediumDecimal Operations and Currency Word Problems

An aviation structural mechanic is processing four requisition forms for aircraft maintenance. Calculate the total cost (materials plus shipping) for each order and arrange them in sequence from least to greatest total cost.

  1. 1Order 4: 88 tubes of sealant at $7.60\$7.60 each, plus a $4.50\$4.50 shipping fee.
  2. 2Order 2: 44 air filters at $12.75\$12.75 each, plus a $15.00\$15.00 shipping fee.
  3. 3Order 3: 2020 meters of safety wire at $2.85\$2.85 per meter, plus a $9.20\$9.20 shipping fee.
  4. 4Order 1: 1515 spark plugs at $4.20\$4.20 each, plus an $8.50\$8.50 shipping fee.

Answer

The correct order from least to greatest total cost is: Order 4 ($65.30\$65.30), Order 2 ($66.00\$66.00), Order 3 ($66.20\$66.20), and Order 1 ($71.50\$71.50).
Evaluating each order gives the following totals: Order 4 is $65.30\$65.30, Order 2 is $66.00\$66.00, Order 3 is $66.20\$66.20, and Order 1 is $71.50\$71.50. Arranging these from least to greatest yields the sequence: Order 4, Order 2, Order 3, Order 1.

Step-by-Step Solution

1
Calculate the total cost for Order 1.
15×4.20=63.0015 \times 4.20 = 63.00. Adding shipping: 63.00+8.50=71.5063.00 + 8.50 = 71.50. Total is $71.50\$71.50.
To determine the complete cost of the spark plugs including the fee.
2
Calculate the total cost for Order 2.
4×12.75=51.004 \times 12.75 = 51.00. Adding shipping: 51.00+15.00=66.0051.00 + 15.00 = 66.00. Total is $66.00\$66.00.
To determine the complete cost of the air filters including the fee.
3
Calculate the total cost for Order 3.
20×2.85=57.0020 \times 2.85 = 57.00. Adding shipping: 57.00+9.20=66.2057.00 + 9.20 = 66.20. Total is $66.20\$66.20.
To determine the complete cost of the safety wire including the fee.
4
Calculate the total cost for Order 4.
8×7.60=60.808 \times 7.60 = 60.80. Adding shipping: 60.80+4.50=65.3060.80 + 4.50 = 65.30. Total is $65.30\$65.30.
To determine the complete cost of the sealant including the fee.
5
Arrange the calculated totals from least to greatest.
The values in ascending order are $65.30\$65.30 (Order 4), $66.00\$66.00 (Order 2), $66.20\$66.20 (Order 3), and $71.50\$71.50 (Order 1).
To answer the question's requirement of sorting the final values.

Key Concept

Decimal Operations and Currency Word Problems
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